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Simplifying 0.35x + 0.05(10 + -1x) = 0.10(-37) 0.35x + (10 * 0.05 + -1x * 0.05) = 0.10(-37) 0.35x + (0.5 + -0.05x) = 0.10(-37) Reorder the terms: 0.5 + 0.35x + -0.05x = 0.10(-37) Combine like terms: 0.35x + -0.05x = 0.3x 0.5 + 0.3x = 0.10(-37) Multiply 0.10 * -37 0.5 + 0.3x = -3.7 Solving 0.5 + 0.3x = -3.7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.3x = -3.7 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.3x = -3.7 + -0.5 0.3x = -3.7 + -0.5 Combine like terms: -3.7 + -0.5 = -4.2 0.3x = -4.2 Divide each side by '0.3'. x = -14 Simplifying x = -14
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